CUET Mathematics Syllabus 2025 CUET Mathematics Syllabus 2025 has been officially released by the NTA and is available on the official website. The syllabus for CUET mathematics is divided into two major parts: Section A and Section B. Section B is further divided into two sections, i.e., B1 (Mathematics) and B2 (Applied Mathematics). Section A of CUET Mathematics Syllabus mainly focus on topics like Algebra, Calculus, Differential Equations, Probability Distributions, etc. CUET 2025 Mathematics Syllabus Section B is more focused on Numbers, Quantification and Numerical Applications, Inferential Statistics, Financial Mathematics, and many more. Sections A and B of the CUET Mathematics have nearly 40% and 60% of weightage distribution, respectively. Students can check out the complete detailed syllabus of CUET Mathematics, along with some important tips to prepare for the same:
Table of Contents
CUET Mathematics Syllabus
In CUET Mathematics, Sections A and B cover core mathematical concepts and advanced and applied mathematics. Students can expect various topics from the CUET Syllabus 2025 of Mathematics, such as Matrices and Types of Matrices, Binomial Distribution, Vectors and Scalars, Multiplication Theorem on Probability, and many more. Tabulated below is the complete syllabus of CUET Mathematics for both Sections A and B:
| Section | Units | CUET Mathematics Syllabus 2025 |
|---|---|---|
| Section A | Algebra | Matrices and Types of Matrices Equality of Matrices, Transpose of a Matrix, Symmetric and Skew-Symmetric Matrix Algebra of Matrices Determinants Inverse of a Matrix Solving simultaneous equations using matrices |
| Calculus | Higher order derivatives Tangents and Normals Increasing and Decreasing Functions Maxima and Minima | |
| Integration and Its Applications | Indefinite integrals of simple functions Evaluation of indefinite integrals Definite Integrals Application of Integration as the area under the curve | |
| Differential Equations | Order and degree of differential equations Formulating and solving differential equations with variable separable | |
| Probability Distributions | Random variables and its probability distribution Expected value of a random variable Variance and Standard Deviation of a Random Variable Binomial Distribution | |
| Linear Programming | Mathematical formulation of the Linear Programming Problem Graphical method of solution for problems in two variables Feasible and infeasible regions Optimal feasible solution | |
| Section B1 | Relations And Functions | Relations and Functions: Types of relations: Reflexive, symmetric, transitive and equivalence relations. One-to-one and onto functions, composite functions, and the inverse of a function.Binary operations. Inverse Trigonometric Functions: Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. |
| Algebra | Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices.Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of the inverse,ifit exists;(Here, all matrices will have real entries). Determinants: Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, and the numerical solutions of systems of linear equations by examples, solving systems of linear equations in two or three variables (having a unique solution) using the inverse of a matrix. | |
| Calculus | Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential functions. Derivativesoflog x ande x . Logarithmic differentiation.Derivatives of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations. Applications of Derivatives: Applications of derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximatio maxima and minima, first derivative test motivated geometrically and second derivative test given as a provable tool.Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). Tangent and Normal. Integral: Integration is the inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts to be evaluated. Definite integrals are the limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. Applications of the Integrals: Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), area between the two above-mentioned curves (the region should be clearly identifiable). Differential Equations: Definition, order, and degree, general and particular solutions of a differential equation. Formation of a differential equation whose general solution is given. Solution of differential equations method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type – dy/dx Py=Q , where P and Q are functions of x or constant; dx/dy= Px, where P and Q are functions of y or constant | |
| Vectors And Three-Dimensional Geometry | Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, and position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line.Vector(cross) product of vectors, scalar triple product. Three-dimensional Geometry: Direction cosines/ratios of a line joining two points. Cartesian and vector equations of a line, coplanar and skew lines, and the shortest distance between two lines. Cartesian and vector equations of a plane.Angle between(i) two lines,(ii)two planes,(iii) a line and a plane. Distance of a point from a plane. | |
| Linear Programming | Introduction, related terminologies such as constraints, objective function, optimisation, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). | |
| Probability | Multiplication theorem on probability. Conditional probability, independent events, total probability, and Bayes’ theorem. Random variable and its probability distribution, mean and variance of a haphazard variable. Repeated independent (Bernoulli) trials and the Binomial distribution. | |
| Section B2 | Numbers, Quantification And Numerical Applications | Modulo Arithmetic: Define the modulus of an integer. Apply arithmetic operations using modular arithmetic rules Congruence Modulo: Define congruence modulo. Apply the definition in various problems Allegation and Mixture: Understand the rule of allegation to produce a mixture at a given price. Determine the mean price of a mixture. Apply the rule of allegation Numerical Problems: Solve real-life problems mathematically Boats and Streams: Distinguish between upstream and downstream. Express the problem in the form of an equation Pipes and Cisterns: Determine the time taken by two or more pipes to fill Races and Games: Compare the performance of two players w.r.t. time, distance taken/distance covered,/ Work done from the given data Partnership: Differentiate between an active partner and a sleeping partner. Determine the gain or loss to be divided among the partners in the ratio of their investment, with due consideration of the time volume/surface area for the solid formed using two or more shapes Numerical Inequalities: Describe the basic concepts of numerical inequalities. Understand and write numerical inequalities |
| Algebra | Matrices and types of matrices: Define matrix. Identify different kinds of matrices Equality of matrices, Transpose of a matrix, Symmetric and skew-symmetric matrix: Determine the equality of two matrices. Write the transpose of a given matrix. Define a symmetric and skew-symmetric matrix | |
| Calculus | Higher Order Derivatives: Determine second and higher-order derivatives. Understand the differentiation of parametric functions and implicit functions. Identify dependent and independent variables Marginal Cost and Marginal Revenue: Using Derivatives. Define marginal cost and marginal revenue. Find the marginal cost and the marginal revenue Maxima and Minima: Determine critical points of the function. Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values. Find the absolute maximum and absolute minimum value of a function | |
| Probability Distributions | Probability Distribution: Understand the concept of Random Variables and their Probability Distributions Find the probability distribution of a discrete random variable Mathematical Expectation: Apply the arithmetic mean of the frequency distribution to find the expected value of a random variable Variance: Calculate the Variance and S.D. of a random variable | |
| Index Numbers And Time-Based Data | Index Numbers: Define Index numbers as a special type of average Construction of Index Numbers: Construct different types of index numbers Test of Adequacy of Index Numbers: Apply time reversal test Time Series: Identify time series as chronological data Components of Time Series: Distinguish between different components of time series Time Series analysis for univariate data. Solve practical problems based on statistical data and interpret | |
| Inferential Statistics | Population and Sample: Define Population and Sample. Differentiate between population and sample. Define a representative sample from a population Parameter and Statistics and Statistical Interferences: Define Parameter with reference to Population. Define Statistics with reference to the Sample. Explain the relation between Parameter and Statistic. Explain the limitations. Statistics generalise the estimation for the population. Interpret the concept of Statistical Significance and Statistical inference. State the Central Limit Theorem. Explain the relation between Population, Sampling, Distribution, and Sample | |
| Financial Mathematics | Perpetuity, Sinking Funds: Explain the concept of perpetuity and sinking fund. Calculate perpetuity. Differentiate between a sinking fund and a savings account Valuation of Bonds: Define the concept of valuation of bonds and related terms. Calculate the value of the bond using the present value approach Calculation of EMI: Explain the concept of EMI. Calculate EMI using various methods Linear method of Depreciation: Define the concept of the linear method of Depreciation. Interpret the cost, residual value, and useful life of an asset from the given information. Calculate depreciation | |
| Linear Programming | Introduction and related terminology: Familiarise with terms related to the Linear Programming Problem Mathematical Formulation of Linear Programming Problem: Formulate the Linear Programming Problem Different types of Linear Programming Problem: Identify and formulate different types of LPP Graphical Method of Solution for problems in two Variables: Draw the Graph for a system of linear inequalities involving two variables and find its solution graphically Feasible and Infeasible Regions: Identify feasible, infeasible and bounded regions Feasible and infeasible solutions, optimal feasible solution: Understand feasible and infeasible solutions. Find the optimal feasible solution |
CUET Mathematics Syllabus: Chapter-wise Weightage
Some of the important topics from the CUET Mathematics syllabus include Matrices and Types of Matrices, Tangents and Normals, Types of Relations, Scalar Triple Product, and many more. Students can check out the chapter-wise weightage for the CUET Mathematics syllabus 2025:
| Name of the Unit | CUET Maths Important Topic Name | CUET Maths Question Weightage |
|---|---|---|
| Algebra | Matrices and types of Matrices, Determinants, Inverse of a Matrix | 2-3 |
| Integration and its Applications | Indefinite integrals of simple functions, Definite Integrals | 3-4 |
| Calculus | Higher-order derivatives, Tangents and Normals, Maxima and Minima | 3-4 |
| Probability Distributions | Random variables and its probability distribution, Variance and Standard Deviation of a random variable, Binomial Distribution | 2-3 |
| Differential Equations | Order and degree of differential equations, F ormulating and solving differential equations with variable separable | 2-3 |
| Relations and Functions | Types of Relations, Inverse Trigonometric Functions | 4-5 |
| Linear Programming | Mathematical formulation of LPP, Graphical method of solution for problems in two variables | 2-3 |
| Vectors | Vectors and scalars, Vector(cross) product of vectors, Scalar triple product | 3-4 |
| 3D Geometry | Direction cosines/ratios of a line joining two points, Cartesian and vector equation of a line | 3-4 |
CUET Mathematics Syllabus 2025: Preparation Tips
While preparing for a domain-specific subject like Mathematics, students should adopt a clear strategy and plan to achieve a higher score in CUET 2025. Given below are some of the tips that students can follow for their CUET Mathematics preparation journey:
- Candidates should familiarise themselves with the CUET Exam Pattern 2025
- They must prioritise the important topics and find out their strengths and weaknesses. This will help them focus on the strong and weak areas simultaneously.
- Students understand all the concepts, memorise the formulas, and revise them regularly.
- The next thing that candidates should consider is going through the CUET Question Paper 2025, and solving mock tests. Practising mock papers and question banks will increase aspirants’ speed and accuracy.
Final Words
The CUET UG Mathematics section tests students’ ability to solve numerical problems and assess their problem-solving skills. Hence, candidates should know the syllabus well, practice mock tests, and learn time management to succeed in CUET 2025, and achieve a higher score.
